A+ Answers

Find all of the critical points and local maximums and minimums of each function.

1)    

Find all critical points and local extremes of each function on the given intervals.

2)    

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6)     Define A(x) to be the area bounded by the t-axis, the line y = 2t and a vertical line at t = x.

a.      Find a formula for A(x)

b.     Determine A’(x).

7)     The figure below shows the graph of the derivative of a continuous function f.

a.      List the critical numbers of f.

b.     What values of x result in a local maximum?

use information from the derivative of each function to help you graph the function.  Find all local maximums and minimums of each function.

8)    

A function and values of x so that  are given.  Use the Second Derivative Test to determine whether each point (x, f(x)) is a local maximum, a local minimum or neither.

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